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Finding the Fourth Proportional to 5,402.40, 7,457.70 and 3,983.64

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Solution

The fourth proportional to 5,402.40, 7,457.70 and 3,983.64 is: 5,499.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.40 : 7,457.70 = 3,983.64 : x
  2. Step 2: Convert to fraction form
    5,402.40/7,457.70 = 3,983.64/x
  3. Step 3: Cross multiply
    5,402.40x = 7,457.70 × 3,983.64
  4. Step 4: Simplify right side
    5,402.40x = 29,708,792.03
  5. Step 5: Solve for x
    x = 29,708,792.03/5,402.40
  6. Step 6: Final answer
    x = 5,499.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.